A note on fixed point method and linear complementarity problem

Bharat Kumar; Deepmala; Arup K Das

doi:10.33993/jnaat521-1290

Authors

Bharat Kumar PDPM-Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, M.P., India https://orcid.org/0000-0003-3026-1378
Deepmala PDPM-Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, M.P., India https://orcid.org/0000-0002-2600-6836
Arup K Das Indian Statistical Institute, Kolkata, India https://orcid.org/0000-0003-2508-7563

DOI:

https://doi.org/10.33993/jnaat521-1290

Keywords:

Linear complementarity problems, symmetric positive definite matrix, matrix splitting, convergence, $H_{ }$-matrix

Abstract views: 211

Abstract

In this article, we present a general form of the fixed point method for processing the large and sparse linear complementarity problem, as well as a general condition for the method's convergence when the system matrix is a $P$-matrix and some sufficient conditions for the proposed method when the system matrix is a $H_+$-matrix or symmetric positive definite matrix.

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References

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